單項(xiàng)選擇題

設(shè)D是矩形區(qū)域:0≤x≤π/4,-1≤y≤1,則xcos2xydxdy等于:()

A.0
B.-1/2
C.1/2
D.1/4


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2.單項(xiàng)選擇題

曲線在原點(diǎn)處的法平面方程為:()

A.x-y=0
B.y-z=0
C.x+y=0
D.x+z=0

3.單項(xiàng)選擇題曲面xyz=1上平行于x+y+z+3=0的切平面方程是:()

A.x+y+z=0
B.x+y+z=1
C.x+y+z=2
D.x+y+z=3

4.單項(xiàng)選擇題

曲面z=x2+y2在(-1,2,5)處的切平面方程是:()

A.2x+4y+z=11
B.-2x-4y+z=-1
C.2x-4y-z=-15
D.2x-4y+z=-5

5.單項(xiàng)選擇題

曲面z=y+lnx/z在點(diǎn)(1,1,1)處的法線方程是:()

A.(x-1)/1=(y-1)/1=(z-1)/-1
B.(x-1)/1=(y-1)/1=(z-1)/-2
C.(x-1)/1=(y-1)/-1=(z-1)/-2
D.x+y-z=1